# File lib/phusion_passenger/analytics_logger.rb, line 104
                def measured_time_points(name, begin_time, end_time, extra_info = nil)
                        if extra_info
                                extra_info_base64 = [extra_info].pack("m")
                                extra_info_base64.gsub!("\n", "")
                                extra_info_base64.strip!
                        else
                                extra_info_base64 = nil
                        end
                        begin_timestamp = begin_time.to_i * 1_000_000 + begin_time.usec
                        end_timestamp = end_time.to_i * 1_000_000 + end_time.usec
                        message "BEGIN: #{name} (#{begin_timestamp.to_s(36)}) #{extra_info_base64}"
                        message "END: #{name} (#{end_timestamp.to_s(36)})"
                end